If you can run a mile in 7 minutes, how fast are you running?

Type the correct answer in each box. Consider the sum of cubes identity: a3 + b3 = (a + b)(a2 − ab + b2). For the polynomial 8x3

zhuklara [117]

Answer:

a = 2x, b = 3.

Step-by-step explanation:

8x^3+27 = (2x)^3 + 3^3

a = 2x and b = 3.

We can cube root 8x^3 getting 2x and cube root 27 getting 3.

4 0

3 years ago

Jamison needs a total of $395 to buy a new bike. He has $35 saved. He earns $15 each week delivering newspapers . How many more

dmitriy555 [2]

An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

Learn more about Equation here:

brainly.com/question/10413253

#SPJ1

5 0

2 years ago

at your local video store, you can rent movies for $2 per movie plus a $10 membership fee for the year. you have $20 to spend on

exis [7]

2x+10 is less than or equal to 20
the domain is 0, 1, 2, 3, 4, 5.

5 0

3 years ago

My math final please help

spin [16.1K]

Answer:

m∠3 = 56

Step-by-step explanation:

Let's solve for x, first:

x + 9 = 3x - 85

9 = 2x - 85

94 = 2x

94/2 = x

47 = x

Now that we have x-value, we can substitute it in any one of the given equation to find angle 3 since, angle 1, 7 and 3 all are congruent:

=> m∠7 = x + 9

=> m∠7 = 47 + 9

=> m∠7 = 56

Since m∠7 ≅ m∠3

and m∠7 = 56, then

Hope this helps!

6 0

2 years ago

A right pyramid with a regular hexagon base has a height of 3 units If a side of the hexagon is 6 units long, then the apothem i

Setler79 [48]

Answer:

Part a) The slant height is $3\sqrt{2}\ units$

Part b) The lateral area is equal to $54\sqrt{2}\ units^{2}$

Step-by-step explanation:

we know that

The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces

so

$LA=6[\frac{1}{2}(b)(l)]$

where

b is the length side of the hexagon

l is the slant height of the pyramid

Part a) Find the slant height l

Applying the Pythagoras Theorem

$l^{2}=h^{2} +a^{2}$

where

h is the height of the pyramid

a is the apothem

we have

$h=3\ units$

$a=3\ units$

substitute

$l^{2}=3^{2} +3^{2}$

$l^{2}=18$

$l=3\sqrt{2}\ units$

Part b) Find the lateral area

$LA=6[\frac{1}{2}(b)(l)]$

we have

$b=6\ units$

$l=3\sqrt{2}\ units$

substitute the values

$LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}$

3 0

3 years ago

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